NCERT Solutions for Class 6 Maths Exercise 5.6

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NCERT Solutions for Class 6 Maths Exercise 5.6 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 6 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

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NCERT Solutions for Class 6 Maths Exercise 5.6

NCERT Solutions for Class 6 Maths Understanding elementary

Class –VI
Mathematics
(Ex. 5.6)
Question 1.Name the types of following triangles:

(a)Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b){tex}\Delta {\text{ABC}}{/tex} with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

(c){tex}\Delta {/tex}PQR such that PQ = QR = PR = 5 cm.

(d){tex}\Delta {/tex}DEF with {tex}m\angle {/tex}D = {tex}{90^ \circ }{/tex}

(e){tex}\Delta {/tex}XYZ with {tex}m\angle {/tex}Y = {tex}{90^ \circ }{/tex} and XY = YZ

(f){tex}\Delta {/tex}LMN with {tex}m\angle {/tex}L = {tex}{30^ \circ },{/tex}{tex}m\angle {/tex}M = {tex}{70^ \circ }{/tex} and {tex}m\angle {/tex}N = {tex}{80^ \circ }.{/tex}

Answer:

(a) Scalene triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangle

(e) Isosceles right-angled triangle

(f) Acute-angled triangle


NCERT Solutions for Class 6 Maths Exercise 5.6

Question 2.Match the following:
Measure of TriangleTypes of Triangle
(i)3 sides of equal length(a) Scalene
(ii) 2 sides of equal length(b) Isosceles right angle
(iii) All sides are of different length(c) Obtuse angle
(iv) 3 acute angles(d) Right angle
(v) 1 right angle(e) Equilateral
(vi) 1 obtuse angle(f) Acute angle
(vii) 1 right angle with two sides

of equal length

(g) Isosceles

Answer: (i) {tex} \to {/tex} (e), (ii) {tex} \to {/tex} (g), (iii) {tex} \to {/tex} (a), (iv) {tex} \to {/tex} (f), (v) {tex} \to {/tex} (d), (vi) {tex} \to {/tex} (c), (vii) {tex} \to {/tex} (b)


Question 3.Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)

Answer:

(a) Acute angled triangle and Isosceles triangle

(b) Right-angled triangle and Scalene triangle

(c) Obtuse-angled triangle and Isosceles triangle

(d) Right-angled triangle and Isosceles triangle

(e) Equilateral triangle and acute angled triangle

(f) Obtuse-angled triangle and scalene triangle


NCERT Solutions for Class 6 Maths Exercise 5.6

Question 4.Try to construct triangles using match sticks. Some are shown here.

Can you make a triangle with:

(a)3 matchsticks?

(b)4 matchsticks?

(c)5 matchsticks?

(d)6 matchsticks?

(Remember you have to use all the available matchsticks in each case)

If you cannot make a triangle, think of reasons for it.

Answer:

(a) 3 matchsticks

This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side.

(b) 4 matchsticks

This is a square, hence with four matchsticks we cannot make triangle.

(c) 5 matchsticks

This is an acute angle triangle and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side.

(d) 6 matchsticks

This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.

NCERT Solutions for Class 6 Maths Exercise 5.6

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